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3x^2-19x-30
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GPT-5 mini
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Roots (quadratic formula):
x = [19 ± √721] / 6, where √721 is irrational (721 = 7·103).
Decimal approximations:
x ≈ 7.641907 and x ≈ −1.308574.
Factorization over the reals:
3x^2 − 19x − 30 = 3 (x − (19 + √721)/6) (x − (19 − √721)/6).
It does not factor into polynomials with integer (or rational) coefficients because the discriminant 721 is not a perfect square.
Roots (quadratic formula):
x = [19 ± √721] / 6, where √721 is irrational (721 = 7·103).
Decimal approximations:
x ≈ 7.641907 and x ≈ −1.308574.
Factorization over the reals:
3x^2 − 19x − 30 = 3 (x − (19 + √721)/6) (x − (19 − √721)/6).
It does not factor into polynomials with integer (or rational) coefficients because the discriminant 721 is not a perfect square.
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